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  • A construction of regular m...
    Chan, C.-Y. Jean; Mainkar, Meera G.; Narayan, Sivaram K.; Webster, Jordan D.

    Linear algebra and its applications, 09/2014, Letnik: 457
    Journal Article

    A magic square is an n×n array of numbers whose rows, columns, and the two diagonals sum to μ. A regular magic square satisfies the condition that the entries symmetrically placed with respect to the center sum to 2μn. Using circulant matrices we describe a construction of regular classical magic squares that are nonsingular for all odd orders. A similar construction is given that produces regular classical magic squares that are singular for odd composite orders. This paper is an extension of 3.